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Regular Prism Volume Calculator

Find a prism volume from a regular polygon base and perpendicular height. Use the same length unit throughout.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Allowed range: 3 to 10,000. Whole numbers only.

Allowed range: 1e-09 to 1,000,000,000.

Allowed range: 1e-09 to 1,000,000,000.

Your result
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Result will appear here

How Regular Prism Volume Calculator works

Find a prism volume from a regular polygon base and perpendicular height.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Base area is n s² / (4 tan(π/n)). Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Regular Prism Volume Calculator, showing regular base side count input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Regular Prism Volume Calculator

Follow the labelled inputs.

Enter regular base side count

Replace the example with regular base side count. The field labels specify the expected format and units.

Input and settings
Regular Prism Volume Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set base side length, perpendicular prism height. Use the same length unit throughout.

Tool result
Regular Prism Volume Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Review the details
Regular Prism Volume Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Regular Prism Volume Calculator

Check the supplied example

The starting example produces 31.1769145362. Find a prism volume from a regular polygon base and perpendicular height.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for regular base side count and base side length, perpendicular prism height. Use the same length unit throughout.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Find a prism volume from a regular polygon base and perpendicular height.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Base area is n s² / (4 tan(π/n)). Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Base area is n s² / (4 tan(π/n)). Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Regular Prism Volume Calculator: common questions

Answers about using Regular Prism Volume Calculator and understanding its results.

What inputs and assumptions apply?

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Base area is n s² / (4 tan(π/n)). Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate